Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A six-digit number 763254 is divisible by 18. If we subtract five times of 41 from the number, then the new number which is formed will be divisible by:
2
7
5
3
Correct answer
2
What is the positive value of the following expression?
\(\sqrt{36 \div 15 \text { of } 2 \text { of }[25 \times 4 \div 4 \text { of }{29-(8-11) \div(9 \times 5 \div 5 \text { of } 3)}]}\)
\(1 \frac{5}{6}\)
\(1 \frac{1}{5}\)
\(2 \frac{4}{5}\)
\(2 \frac{3}{5}\)
Correct answer
\(1 \frac{5}{6}\)
Find the area of triangle whose sides are 10 cm, 12 cm, and 18 cm.
22√2 cm2
30√2 cm2
28√2 cm2
40√2 cm2
Correct answer
22√2 cm2
The marked price of a chair was ₹1,000 but it was sold for ₹1,200. What is the percentage increase on the product?
10%
15%
35%
20%
Correct answer
10%
Find the greatest number that exactly divides 15,30 and 40.
3
40
5
15
Correct answer
3
The LCM of two numbers is 840 and their HCF is 7 . If one of the numbers is 56 , find the other.
120
112
105
84
Correct answer
120
24 men can complete a work in 15 days. How many men are needed to complete the same work in 10 days?
16
20
36
25
Correct answer
16
What is the selling price of a dress that has a marked price of Rs. 500 and is given a 20% discount and subsequently a 10% discount?
Rs. 330
Rs. 360
Rs. 365
Rs. 345
Correct answer
Rs. 330
Study the given figure and answer the question that follows.
Find the length of AB in the given triangle, if it is given that the length of BD is 4 unit.
3
3.5
2.5
4
Correct answer
3
A retailer offers the following discount schemes for buyers on an item.
i) Two successive discount of 15%
ii) A discount of 20% followed by a discount of 10%
iii) A discount of 30%
Under which scheme the selling price will be maximum?
ii
ii and iii
i and ii
i
Correct answer
ii
The following table shows the production of different types of two wheelers from 1993 to 1998.
(No. of two wheelers is in 1000s)
| Year Type | 1993 | 1994 | 1995 | 1996 | 1997 | 1998 |
|---|---|---|---|---|---|---|
| A | 36 | 34 | 40 | 35 | 37.5 | 40 |
| B | 20 | 22 | 25 | 23 | 19.5 | 18 |
| C | 14 | 22 | 16 | 25 | 29 | 35 |
| D | 60 | 62 | 67.5 | 75 | 76 | 80 |
| E | 40 | 45 | 48 | 50 | 80 | 105 |
| F | 45 | 52 | 55 | 60 | 57.5 | 56 |
| Total | 215 | 237 | 251.5 | 268 | 299.5 | 334 |
What is the approximate percentage increase in the total production of all types of two wheelers in 1998 in comparison to 1994?
42
45
40
41
Correct answer
42
If \(\sqrt{1+\frac{x}{529}}=\frac{24}{23}\), then the value of x is:
15
27
47
30
Correct answer
15
The area of the base of a cone is 616 cm2. If its slant height is 20 cm, then what is the total surface area of the cone? [Use π = 22/7]
1352 cm2
1296 cm2
1496 cm2
1524 cm2
Correct answer
1352 cm2
8 men and 12 women finish a job in 4 days. While 6 men and 14 women in 5 days. In how many days will 20 women finish the job?
10
20
30
15
Correct answer
10
The following bar graph describes the population of a town (in lakhs) from 2001 to 2007.
Find the percentage increase in population from 2006 to 2007.
15%
20%
16%
18%
Correct answer
15%
The speed of a boat in still water is thrice the speed of the stream. If the boat takes 15.5 sec to go to a certain place downstream, then find the additional time required to cover the same distance travelling upstream.
15.5 sec
29 sec
31 sec
35 sec
Correct answer
15.5 sec
Which of the following is the lowest ratio?
3 ∶ 22
23 ∶ 29
17 ∶ 5
5 ∶ 19
Correct answer
3 ∶ 22
The given chart shows the marks scored by a class X student in different subjects.
If the total marks are 1800, then find the difference between the marks scored in science and mathematics.
2
10
1
5
Correct answer
2
A hemispherical bowl of internal diameter 18 cm contains water. This water is to be filled in cylindrical bottles of diameter 6 cm and height 3 cm. The number of bottles required to empty the bowl is:
3
9
6
18
Correct answer
3
If sin A = \(\frac{1}{2}\), then the value of (tan A + cos A) is:
\(\frac{2}{3 \sqrt{3}}\)
\(\frac{3}{2 \sqrt{3}}\)
\(\frac{5}{2 \sqrt{3}}\)
\(\frac{5}{3 \sqrt{3}}\)
Correct answer
\(\frac{2}{3 \sqrt{3}}\)
Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.